Rectifiability of RCD(K,N) spaces via δ-splitting maps

DOI10.5186/aasfm.2021.4627zbMath1477.53073arXiv2001.07911OpenAlexW3177308599WikidataQ109747218 ScholiaQ109747218MaRDI QIDQ4958534

Daniele Semola, Enrico Pasqualetto, Elia Bruè

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07911

zbMATH Keywords

tangent conerectifiabilityRCD space

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Boundary regularity and stability for spaces with Ricci bounded below ⋮ The isoperimetric problemviadirect method in noncompact metric measure spaces with lower Ricci bounds ⋮ Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces ⋮ A note on the topological stability theorem from RCD spaces to Riemannian manifolds ⋮ Calculus and fine properties of functions of bounded variation on RCD spaces ⋮ On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds ⋮ Monotonicity formulas for harmonic functions in \(\mathrm{RCD}(0,N)\) spaces ⋮ About the general chain rule for functions of bounded variation ⋮ The metric measure boundary of spaces with Ricci curvature bounded below ⋮ Torus stability under Kato bounds on the Ricci curvature ⋮ Isometric immersions of RCD spaces ⋮ Weakly non-collapsed RCD spaces are strongly non-collapsed ⋮ On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

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